I think he pays $702.
Basically,
650 • .08 (move the decimal over two to the left, that’s what you get) = 52. Then I did 650 + 52 and got $702.
It’s B because the y intercept is +3
If (-1, -1) is an extremum of , then both partial derivatives vanish at this point.
Compute the gradients and evaluate them at the given point.
The first and third functions drop out.
The second function depends only on . Compute the second derivative and evaluate it at the critical point .
This indicates a minimum when . In fact, since this function is independent of , every point with this coordinate is a minimum. However,
for all , so (-1, 1) and all the other points are actually <em>global</em> minima.
For the fourth function, check the sign of the Hessian determinant at (-1, 1).
The second derivative with respect to is -2/(-1) = 2 > 0, so (-1, -1) is indeed a local minimum.
The correct choice is the fourth function.
Answer:
<u>If a car is driven 15,000 miles in a year, the model predicts the annual cost of the car to be $ 6,900.</u>
Step-by-step explanation:
The model developed is:
y = $ 1,500 + 0.36x, where:
y represents the annual cost of an automobile
x represents the number of miles driven
If x = 15,000, let's solve for y:
y = 1,500 + 0.36x
y = 1,500 + 0.36 * 15,000
y = 1,500 + 5,400
<u>y = 6,900</u>